A mass m is taken to a planet whose mass is equal to half that of earth and radius is 4 times that of earth .The mass of the body on this planet will be
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Mass of the body would remain same but it's weight will be 5/16 times than the earth.
Explanation:
Mass of planet "m" =mₑ/2
Radius of planet "r" = 4 Rₑ
gₑ = Gmₑ/Rₑ²= 10 m/s²
g =Gm /R²
g = Gmₑ/2×16 Rₑ²
gₑ/g = Gmₑ/Rₑ²/Gmₑ/2×16Rₑ² = 32
32 g =gₑ
g =10/32 m/s²
w = m×g
w =10 m/32 N
- The mass of the body would remain same everywhere
- but the weight would become 5/16 times than it's weight on earth.
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